A generalization of the torsion form
Ivan Kolář (1975)
Časopis pro pěstování matematiky
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Displaying similar documents to “The principal prolongation of first order -structures”
A generalization of the torsion form
On the Connections on the Prolongations of Principal Fibre Bundles
Anton Dekrét (1975)
Matematický časopis
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Torsions of connections on tangent bundles of higher order
Kureš, Miroslav
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The torsions of a general connection on the th-order tangent bundle of a manifold are defined as the Frölicher-Nijenhuis bracket of with the natural affinors. The author deduces the basic properties of these torsions. Then he compares them with the classical torsion of a principal connection on the th-order frame bundle of .
Invariant operations on manifolds with almost Hermitian symmetric structures. II: Normal Cartan connections.
Čap, A., Slovák, J., Souček, V. (1997)
Acta Mathematica Universitatis Comenianae. New Series
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Torsions of connections on higher order cotangent bundles
Miroslav Doupovec, Jan Kurek (2003)
Czechoslovak Mathematical Journal
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By a torsion of a general connection on a fibered manifold we understand the Frölicher-Nijenhuis bracket of and some canonical tangent valued one-form (affinor) on . Using all natural affinors on higher order cotangent bundles, we determine all torsions of general connections on such bundles. We present the geometrical interpretation and study some properties of the torsions.